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Finding the Fourth Proportional to 158.67, 238.13 and 90.26

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Solution

The fourth proportional to 158.67, 238.13 and 90.26 is: 135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.67 : 238.13 = 90.26 : x
  2. Step 2: Convert to fraction form
    158.67/238.13 = 90.26/x
  3. Step 3: Cross multiply
    158.67x = 238.13 × 90.26
  4. Step 4: Simplify right side
    158.67x = 21,491.97
  5. Step 5: Solve for x
    x = 21,491.97/158.67
  6. Step 6: Final answer
    x = 135.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.